A321335 Expansion of 1/(1 - x) * Product_{k>=0} 1/(1 - x^(2^k))^(2^(k+1)).

1, 3, 10, 22, 57, 115, 248, 456, 906, 1598, 2956, 4980, 8802, 14422, 24440, 38856, 63881, 99515, 159106, 242654, 379609, 569971, 873696, 1290784, 1945912, 2839080, 4213712, 6069808, 8890264, 12675080, 18334048, 25867168, 37011210, 51766174, 73308548, 101638332, 142626458

Offset

0,2

Links

Table of n, a(n) for n=0..36.

Formula

G.f.: A(x) satisfies A(x) = ((1 + x) * A(x^2))^2 / (1 - x), with A(0) = 1.

a(n) = A073709(2*n) = A073709(2*n+1) for n >= 0.

Crossrefs

Cf. A073708, A073709, A321336.

Partial sums of A073710.

Sequence in context: A299336 A222629 A070880 * A171686 A027164 A292921

Adjacent sequences: A321332 A321333 A321334 * A321336 A321337 A321338

Keyword

nonn

Author

Seiichi Manyama, Nov 05 2018

Status

approved